$(10$ pts$)$ A coal$-$fired power plant is considering two options to remove fly ash from its stack gas. Using either option,

an overall efficiency of $99\mathrm{.}5\%$ must be achieved for a flow rate of $1\mathrm{.}2$ million acfm. Assume a fan efficiency of $60\%.$

Option $1$: Use an ESP. Pilot testing shows $w=0\mathrm{.}3f\frac{t}{s}$ and $P$ of $0\mathrm{.}2$ in $H_{2}O.$

Option $2$: Use two devices in series: a multi$-$clone with $85\%$ efficiency for pretreatment followed by an ESP. $\frac{?}{{?}_{\frac{?}{?}}P}$

through the entire treatment train $($both devices$)$ is $3\mathrm{.}4$ in $H_{2}O.$ Assume the same drift velocity for particles in the

$)=(0\mathrm{.}3f\frac{t}{s}.$

Evaluate both options. For each, calculate:

a$)$ Total plate area of the ESP $($round up to the nearest $1,000f{t}^2)$

b$)$ Total power requirement $($fan power and corona power, rounding up to nearest $10$kW$)$